Search a number
-
+
106514535660433 = 41157331367136217
BaseRepresentation
bin11000001101111111011001…
…000011111011101110010001
3111222010200122010110211222021
4120031333121003323232101
5102430113232112113213
61014312034022411441
731302264326460625
oct3015773103735621
9458120563424867
10106514535660433
1130a3661960892a
12bb43292590b81
13475837bbc1cc4
141c4348c4d7185
15c4aa4a52cd8d
hex60dfd90fbb91

106514535660433 has 32 divisors (see below), whose sum is σ = 110440096962048. Its totient is φ = 102661531315200.

The previous prime is 106514535660391. The next prime is 106514535660473. The reversal of 106514535660433 is 334066535415601.

It is a cyclic number.

It is not a de Polignac number, because 106514535660433 - 233 = 106505945725841 is a prime.

It is a super-2 number, since 2×1065145356604332 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106514535660473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781879341 + ... + 782015557.

It is an arithmetic number, because the mean of its divisors is an integer number (3451253030064).

Almost surely, 2106514535660433 is an apocalyptic number.

It is an amenable number.

106514535660433 is a deficient number, since it is larger than the sum of its proper divisors (3925561301615).

106514535660433 is a wasteful number, since it uses less digits than its factorization.

106514535660433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137113.

The product of its (nonzero) digits is 11664000, while the sum is 52.

The spelling of 106514535660433 in words is "one hundred six trillion, five hundred fourteen billion, five hundred thirty-five million, six hundred sixty thousand, four hundred thirty-three".

Divisors: 1 41 157 331 367 6437 13571 15047 51967 57619 121477 136217 2130647 2362379 4980557 5584897 19071889 21386069 45087827 49991639 781947449 876828829 1848600907 2049657199 7078788839 7848687323 16547232509 290230342399 321796180243 678436532869 2597915503913 106514535660433